1. Correct the following equation so that it makes sense – you can add numbers and operators to it.
Challenge: Make the equation make sense by re-arranging the digits – you cannot add anything new!
How quickly can you find out what is unusual about this  paragraph? It looks so ordinary that you would think that nothing was wrong with it at all and, in fact, nothing is. But  it is unusual. Why? If you study it and think about it you may  find out, but I am not going to assist you in any way.
79 = 24

2. This week: Perimeter, Area, Volume
Convert units of measure and calculate the area, perimeter and volume of common shapes
Calculate perimeter and area of common 2D shapes
Name units of measure for area, perimeter and volume
Calculate volume of common 3D shapes
Calculate area and circumference of circles using π
Solve missing number area, perimeter and volume problems

3. Metric
Imperial
Length
Weight
Capacity

4. Perimeter, area and volume
1cm cm cm3
Distance around the outside of a 2D shape
Space inside a 2D shape
Space inside a 3D shape

5. Perimeter and Area 3cm 5cm 5+3+5+3 = 16cm 5 x 3 = 15cm²
Perimeter is the length around the outside of a shape. Area is the space inside a shape.
3cm
5cm
The rectangle has a perimeter of:
The rectangle has an area of:
= 16cm
5 x 3 = 15cm²

6. Calculate the perimeter and area of this rectangle…
4cm
6cm
Perimeter =
Area =
20cm
24cm²

7. Rectangle: Area = length × width 𝑨=𝒍𝒘
Formulae to remember:
Triangle:
Area = base × height ÷ 2
𝑨= 𝟏 𝟐 𝒃𝒉
Rectangle: Area = length × width 𝑨=𝒍𝒘
Find the area and perimeter of this rectangle:
Area = 8 × 6
Area = 48cm²
Perimeter =
Perimeter = 28cm
Find the area and perimeter of this triangle:
Area = 5 × 12 ÷ 2
Area = 60cm² ÷ 2
Area = 30cm²
Perimeter =
Perimeter = 30cm
13cm
6cm
5cm
8cm
12cm

8. Exam Questions Answer: 35cm² Answer: Area = 88cm² Perimeter = 38cm 7cm
Find the area of this triangle:
Question 2
Find the perimeter and area of this rectangle:
7cm
11cm
10cm
Answer: 35cm²
8cm
Answer:
Area = 88cm²
Perimeter = 38cm

9. Find the missing lengths
?cm
6cm
Area = 48cm²
7cm
Area = 21cm²
8cm
?cm
6cm

10. Calculate the volume of a cuboid
A cuboid is a prism, which means that it has the same cross-section all the way through. Find the area of the cross-section then multiply by the length: Volume = Height × Width × Length 𝑉=ℎ𝑤𝑙
Find the volume of this cuboid:
Find the volume of this cuboid:
Volume = 3 × 5 × 4
Volume = 60cm³
3cm
8cm
4cm
6cm
5cm
5cm
Answer: 240cm³

11. What is a prism? Hexagonal Prism Cylinder Triangular Prism
A prism is a 3D shape that has the same cross-section all the way through.
Triangular Prism
Hexagonal Prism
Cylinder
Find the area of the cross-section then multiply by the length.
Volume = Area of cross-section × length

12. Exam Questions Answer: 432cm³ 3cm 8cm 9cm 12cm 8cm
Find the volume of this triangular prism:
Find the volume of this cylinder: Volume = 𝜋× 3 2 ×8 Volume = 226.2cm³
3cm
8cm
9cm
12cm
8cm
Answer: 432cm³

13. Circumference
Circumference = π × diameter
circumference
diameter

14. Examples Circumference = π × diameter Circumference: = π × 4 4cm
= 12·57cm (2 d.p.)
8cm
Circumference:
= π × 16
= 50·27cm (2 d.p.)

15. Area
Area = π × radius × radius = π × radius2
radius
area

16. Example Area = π × radius × radius Area 7cm = π × 7 × 7
= π × 7 × 7
= 153·94cm² (2 d.p.)
area
10cm
Area
= π × 5 × 5
= 78·54cm² (2 d.p.)

17. Find the circumference and area of this circle:
Exam Question
Find the circumference and area of this circle:
Circumference = π × diameter Circumference = π × 9 = 28·27cm (2 d.p.)
9cm
Area = π × radius × radius
Area = π × 4·5 × 4·5
= 63·62cm² (2 d.p.)

18. Find the circumference and area of this circle:
Exam Question
Find the circumference and area of this circle:
Circumference = π × diameter Circumference = π × 12 = 37·70cm (2 d.p.)
6 cm
Area = π × radius × radius
Area = π × 6 x 6
= 113·10cm² (2 d.p.)

19. What is the perimeter of this shape?
2.5cm
2.5cm
2 cm 7

20. What is the area of this shape?12

21. 3cm
What is the area of this shape?
4cm 20